An engineer wants to design a circular racetrack of radius R such that cars of mass m can go around the track at speed U without the aid of friction or other forces other than the perpendicular contact force from the track surface. Find an expression for the required banking angle 0 of the track, measured from the horizontal. Express the answer in terms of m, R, U, and g. Suppose the race cars actually round the track at a speed W > U. What additional radial force F, is required to keep F, = the cars on the track at this speed? Express the answer in terms of m, R, U, W, and g.

An engineer wants to design a circular racetrack of radius R such that cars of mass m can go around the track at speed U without the aid of friction or other forces other than the perpendicular contact force from the track surface. Find an expression for the required banking angle 0 of the track, measured from the horizontal. Express the answer in terms of m, R, U, and g. Suppose the race cars actually round the track at a speed W > U. What additional radial force F, is required to keep F, = the cars on the track at this speed? Express the answer in terms of m, R, U, W, and g.

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter5: Newton's Law Of Motion

Section: Chapter Questions

Problem 42P: Suppose the mass of a fully loaded module in which astronauts take off from the Moon is 1.00104kg ....

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